Question
Download Solution PDF\(\frac{(275 \times 275 \times 275+725 \times 725 \times 725)}{(275 \times 275+725 \times 725-725 \times 275)}\) x \(\frac{(275 \times 275 \times 275-725 \times 725 \times 725)}{(275 \times 275+725 \times 725+725 \times 275)}\) విలువ:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇవ్వబడింది:
((275 x 275 x 275 + 725 x 725 x 725))/((275 x 275 + 725 x 725 - 725 x 275)) x ((275 x 275 x 275 - 725 x 725 x 725))/((275 x 275 + 725 x 725 + 725 x 275)) విలువ:
ఉపయోగించిన సూత్రం:
(a3 + b3) = (a + b)(a2 - ab + b2)
(a3 - b3) = (a - b)(a2 + ab + b2)
లెక్కలు:
a = 275 మరియు b = 725 అనుకుందాం
అంకె 1: 2753 + 7253 = (275 + 725)(2752 - 275 x 725 + 7252)
⇒ అంకె 1 = 1000(2752 - 275 x 725 + 7252)
హారం 1: 2752 + 7252 - 725 x 275
⇒ హారం 1 = (2752 + 7252 - 725 x 275)
అంకె 2: 2753 - 7253 = (275 - 725)(2752 + 275 x 725 + 7252)
⇒ అంకె 2 = -450(2752 + 275 x 725 + 7252)
హారం 2: 2752 + 7252 + 725 x 275
⇒ హారం 2 = (2752 + 7252 + 725 x 275)
⇒ విలువ = (1000(2752 - 275 x 725 + 7252))/(2752 + 7252 - 725 x 275) x (-450(2752 + 275 x 725 + 7252))/(2752 + 7252 + 725 x 275)
⇒ విలువ = 1000 x -450
⇒ విలువ = -450000
∴ సరైన సమాధానం 4వ ఎంపిక.
Last updated on Jun 17, 2025
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